Approximate solutions for MHD squeezing fluid flow by a novel method
1 Department of Mathematics, Science Faculty, Fırat University, Elazığ, 23119, Turkey
2 Department of Mathematics, Education Faculty, Dicle University, Diyarbakır, 21280, Turkey
3 Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA
Boundary Value Problems 2014, 2014:18 doi:10.1186/1687-2770-2014-18Published: 16 January 2014
In this paper, a steady axisymmetric MHD flow of two-dimensional incompressible fluids has been investigated. The reproducing kernel Hilbert space method (RKHSM) has been implemented to obtain a solution of the reduced fourth-order nonlinear boundary value problem. Numerical results have been compared with the results obtained by the Runge-Kutta method (RK-4) and optimal homotopy asymptotic method (OHAM).
MSC: 46E22, 35A24.